What is the Greatest Common Factor of 45034 and 45044?

Greatest common factor (GCF) of 45034 and 45044 is 2.

GCF(45034,45044) = 2

We will now calculate the prime factors of 45034 and 45044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45034 and 45044.

How to find the GCF of 45034 and 45044?

We will first find the prime factorization of 45034 and 45044. After we will calculate the factors of 45034 and 45044 and find the biggest common factor number .

Step-1: Prime Factorization of 45034

Prime factors of 45034 are 2, 11, 23, 89. Prime factorization of 45034 in exponential form is:

45034 = 2¹ × 11¹ × 23¹ × 89¹

Step-2: Prime Factorization of 45044

Prime factors of 45044 are 2, 11261. Prime factorization of 45044 in exponential form is:

45044 = 2² × 11261¹

Step-3: Factors of 45034

List of positive integer factors of 45034 that divides 45034 without a remainder.

1, 2, 11, 22, 23, 46, 89, 178, 253, 506, 979, 1958, 2047, 4094, 22517

Step-4: Factors of 45044

List of positive integer factors of 45044 that divides 45034 without a remainder.

1, 2, 4, 11261, 22522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45034 and 45044. The biggest common factor number is the GCF number.
So the greatest common factor 45034 and 45044 is 2.

Also check out the Least Common Multiple of 45034 and 45044